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Finding the Fourth Proportional to 1,072.21, 1,607.29 and 341.31

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Solution

The fourth proportional to 1,072.21, 1,607.29 and 341.31 is: 511.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.21 : 1,607.29 = 341.31 : x
  2. Step 2: Convert to fraction form
    1,072.21/1,607.29 = 341.31/x
  3. Step 3: Cross multiply
    1,072.21x = 1,607.29 × 341.31
  4. Step 4: Simplify right side
    1,072.21x = 548,582.44
  5. Step 5: Solve for x
    x = 548,582.44/1,072.21
  6. Step 6: Final answer
    x = 511.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.